An improved assembly for securing an implantable medical device for retrieval from an implant site includes a plurality of snares, wherein distal openings of a first snare carrier lumen and a second snare carrier lumen have a pre-set offset established therebetween. First and second snare shafts, to which first and second snare loops are coupled, respectively, extend within the corresponding snarecarrier lumens such that each loop is located in proximity to the corresponding distal opening of the lumen. The pre-set offset allows an operator to simultaneously position the snare loops around the device; and, when the operator retracts the snare shafts to collapse the snare loops until the loops fit snuggly around the device, the pre-set offset can help to align the device for retrieval.